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Finding the Fourth Proportional to 7,664.07, 10,574.60 and 4,477.88

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Solution

The fourth proportional to 7,664.07, 10,574.60 and 4,477.88 is: 6,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.07 : 10,574.60 = 4,477.88 : x
  2. Step 2: Convert to fraction form
    7,664.07/10,574.60 = 4,477.88/x
  3. Step 3: Cross multiply
    7,664.07x = 10,574.60 × 4,477.88
  4. Step 4: Simplify right side
    7,664.07x = 47,351,819.08
  5. Step 5: Solve for x
    x = 47,351,819.08/7,664.07
  6. Step 6: Final answer
    x = 6,178.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.